A school gives every student a sandwich for a picnic on the last day of school. The school has 1,821 students. Each sandwich has 2 slices of bread, and there are 21 slices of bread in a loaf. How many loaves of bread are needed for all the sandwiches?

Answer:

Step-by-step explanation:

It's asking you to find the measures for all the angles.

For example, angle 1 would be 59° because it is equal to the angle across from it.

Angle 2 would equal 31° because it's a supplement angle to 59° and so on

There is enough evidence to conclude that the new components have reduced the rate of defective chips produced.

At the null hypothesis, it is tested if there is not enough evidence that the amount has decreased, that it still is of 12, hence:

[tex]H_0: \mu = 12[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that the amount has decreased, that is, it is less than 12, hence:

[tex]H_1: \mu < 12[/tex]

We have a left-tailed test, with a significance level of 0.05, hence the test statistic needed for there to be enough evidence is less than -1.645, which is the critical value.

The equation that determines the test statistic is given as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

The parameters in this problem are of:

[tex]\overline{x} = 8, \mu = 12, \sigma = 3.3586, n = 12[/tex]

Hence the test statistic is of:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{8 - 12}{\frac{3.3586}{\sqrt{12}}}[/tex]

z = -4.13.

Less than the critical value, hence there is enough evidence that the amount has decreased.

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f(-2) = 254 , meaning if the company sells shirts -2 , they would make a profit of 254 dollars. This interpretation is true in the context of the problem.

f(12) = 266 , meaning if the company sells shirts 12 , they would make a profit of 266 dollars. This interpretation is true in the context of the problem.

f(17.5) = 270.25, meaning if the company sells shirts 17.5 , they would make a profit of 270.25 dollars. This interpretation is true in the context of the problem.

Based on the observations above, it is clear that an appropriate domain for the function is x ≥ - 2.

Functions and values given the function that represents elevation, in feet, of Jayden hikes expressed as:

f(x)=(x+2)²+250.

If the domain value of the function is -4, then;

f(-4)=(-4+2)²+250

f(-4) = 4 + 250

f(-4) = 254

f(-4) = 254 means If Jayden hikes 4 miles to the south, his elevation would be 254 feet. This interpretation is true in the context of the problem

If the domain value of the function is -4, then;

f(2)=(2+2)²+250

f(2) = 16 + 250

f(2) = 266

f(2) = 266 means If Jayden hikes 2 miles to the north, his elevation would be 266 feet. This interpretation is true in the context of the problem

If the domain value of the function is 2.5, then;

f(2.5)=(2.5+2)²+250

f(2.5) = 20.25 + 250

f(2.5) = 270.25

f(2.5) = 270.25 means If Jayden hikes 2.5 miles to the north, his elevation would be 270.25 feet. This interpretation is true in the context of the problem

Determining the domain

The domain exist for the value of (x+2)² ≥ 0

x + 2 ≥ 0

x ≥ - 2

Based on the observation above, it is clear that an appropriate domain of the function is x ≥ - 2

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The constant of proportionality that relates the number of servings to cups of cheese is  0.25.

According to the question,

Sarah used 2.5 cups of cheese in a dish that serves 10 people, this can be written as :

let the c be the cups of cheese : c = 2.5 cups of cheese

let n be the number of the people that is been served

Then the equation can be written as :

c ∝ n

then we can bring in the proportionality constant sign as ;

then c = kn

then we can introduce the given figures into the equation as ;

=> 2.5=k (10)

the we can determine the value of the constant as :

=> k=2.5/10 = 0.25

Hence, constant of proportionality relates the number of servings to cups of cheese is 0.25

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Answer:

A split infinitive is a common grammatical mistake that can be hard for writers to spot. Many people think they are not a big deal, but they can often have a major impact on your writing and make it hard for a reader to understand what you have to say.

Step-by-step explanation:

Take, for example, this sentence:

I like to on a hot day eat a lot of ice cream.

Did you have to read it twice to be clear what it was saying? I know I did. But let's make just a little adjustment:

On a hot day, I like to eat a lot of ice cream.

( x - 1 ) is the factor of f(x) as remainder is 0

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

According to the given information

The given polynomial is

f(x) = [tex]x^{3} + 4x^{2} +x -6[/tex]

According to the remainder theorem

( x - 1 ) will be the factor of f(x) , if f(1) is zero

So

= [tex]1^{3} + 4(1)^{2} + 1 -6[/tex]

= 1+4+1-6

= 6-6

= 0

So

( x - 1 ) is the factor of f(x) as remainder is 0

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The domain for the given function is {-1, 2, 33, 32}.

A function's or relation's domain is the set of all possible independent values that the relation can take. It is the sum of all possible inputs.

A function's or relation's range is the set of all possible dependent values that the relation can produce from the domain values. It is the sum of all possible outputs.

When dealing with sets of ordered pairs, we simply divide the pairs into x- and y-coordinates. The domain is formed by the x-coordinates, which are independent values. The y-coordinates are the dependent values, i.e. they define the range.The domain in the set of ordered pairs {(a,b); (c,d); (e,f); (g,h)} is the set of the first number in each pair (those are the x-coordinates): {a,c,e,g}. The range is the set of all the pairs with the second number (the y-coordinates): {b,d,f,h}.

Given,

The set of ordered pair =   {(-1,5) , (2,3), (33,6), (32,7)}

then,

the Domain = {-1, 2, 33, 32}

Range = {5, 3, 6, 7}

Thus, the domain for the given function is {-1, 2, 33, 32}

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The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.

Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.

The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

Considering that,

We need to find for the peripheral income capability, find the interest capability.

Recollect that the pay is zero assuming no things are sold:

R'(x) = 0.06x² - 0.05x + 138

p(x) is what.

That's what we know,

MR = dTR/dx = 0.06x² - 0.05x + 138

Incorporating the marginal revenue function , we get complete income capability,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x

= (0.06x³)/3 - (0.05x²)/2 + 138 x

TR = 0.02 x³ - 0.025 x² + 138 x

TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x

P = ( 0.02 x³ - 0.025 x² + 138 x)/x

P = 0.02x² - 0.025x + 138

In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

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Answer:

16

Step-by-step explanation:

Therefore , Angela needs to fill this cup 6/7 times.

A fraction represents a component of a whole or, more generally, any number of equal parts. As in one-half, eight-fifths, and three-quarters, a fraction in conversational English denotes the number of components of a specific size.

Here,

To her dough, Angela needs to add 12 cups of milk. She only has a measuring cup that holds 14 cups.

Thus, the number of times angela needs to fill  cup are = 12/14 times

thus ,

=> 12/14 =6/7

Therefore , Angela needs to fill this cup 6/7 times.

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Answer:

a value that is not yet known

think sometimes prob 4x5 i don't know

Answer: y = 8 , x = 4

Step-by-step explanation:

gosh darn i haven done this since algebra 1 !!

since both equations equal y, we can make them equal to each other since y = y

-2x +16 = 2x (im just gonna simplify without all the extra steps sorry)

x = 4 (this is the first answer)

now we can plug in x to find y

y = 2(4)

y = 8 (second answer)

im sorry if the grammar is horrid its 3 am

The number of ways that we can remove the balls one at a time from the box is 1307674368000

Given,

The number of balls in a box;

5 red balls

6 blue balls

4 green balls

We have to find the number of ways the balls can removed from the box one at a time;

Here,

Order is indistinguishable, so combination can be followed;

Combination formula;

ⁿCr = n! / r1(n - r)!

Here,

Total number of balls in the box = 5 + 4 + 6 = 15 balls

Then.

¹⁵C₁₅ = 15! / 15! (15 - 15)! = 15! = 1307674368000

That is,

We can remove the balls one at a time from the box in 1307674368000 ways.

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solve for y

y = 1.5x + 2

notice this is in form y = mx + b

m is slope, b is y intercept

m = 1.5

slope is 1.5

hope this helps :)

jeron

Answer:Use it as it is or fit non-normal distribution

Step-by-step explanation:

Answer: 12.5 meters!

Step-by-step explanation:

1km = 1000 meters

So 5km = 5000 meters

So take 5000 divided by 400 = 12.5 meters

Answer:

12.5 is the answer for this question

The correct statement regarding whether the graph represents a function is given as follows:

B. No, because it fails the vertical line test.

A graph is a relation, and it represents a function if each value of the input is mapped to only one output, that is, if the graph does not contain vertically aligned points.

From the graph given by the image at the end of the answer, the inputs for x > 2 are mapped to multiple outputs, meaning that a vertical line at any of these points would cross the function twice, meaning that the graph has vertically aligned points.

Since the graph has vertically aligned points, it fails the vertical line test, and hence the graph does not represent a function, and option B is correct.

The problem is given by the image shown at the end of the answer.

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888030 ways are there for teachers to select the students.

What is the combination?

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

Here, we have

A teacher selects 7 students from her class of 27 students.

We have to find how many ways are there for her to select the students of the chosen students.

The order of selecting the students does not matter here so the number of ways to select 7 students from the class of 27 to work together on a project is:

C(27,7) = 27!/(7!*(27-2)! = 888030

Hence, 888030 ways are there for teachers to select the students.

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The slope is the measure of the steepness and direction of a line. You can predict whether lines in a coordinate plane are parallel, perpendicular, or none by finding the slope of the lines.

There are two distinct points on any line that can be used to calculate its slope. Between two distinct points on a line, the slope formula calculates the ratio of vertical and horizontal changes. In mathematics, the slope is calculated as the ratio of the rise to the run, or as the rise divided by the run. The slope is a measure of how steep a line is in a coordinate plane.

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The given equation after a translation by 2 units upwards is y = 3.5x + 2.

The rules for translating an equation in both vertical and horizontal directions are:

The given equation is y = 3.5x

The equation after translation by 2 units upward is obtained by using the rule we have y = f(x) + m.

⇒ y = 3.5x + 2

The graphs for the given equation and the translated equation are shown in the graph below.

For the pair that show translation in both equations, substituting x = 0, we get

y = 3.5x ⇒ y = 3.5(0) = 0; So, the point is (0,0)

and

y = 3.5x + 2 ⇒ y = 3.5(0) +2 = y = 2; So, the point (0,2)

Therefore, the required pair is (0,0) and (0,2).

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10x-61/12 is the difference of  (7x-[tex]6\frac{2}{3}[/tex]) - (-3x + [tex]4\frac{3}{4}[/tex]).

An expression is combination of variables, numbers and operators.

The given expression is (7x-[tex]6\frac{2}{3}[/tex]) - (-3x + [tex]4\frac{3}{4}[/tex])

7x-[tex]6\frac{2}{3}[/tex]+3x- [tex]4\frac{3}{4}[/tex]

7x-20/3+3x-19/4

Add the variable terms and constant terms.

10x-20/3-19/4

The LCM of 3 and 4 is 12/

10x-4-57/12

10x-61/12

Hence, 10x-61/12 is the difference of  (7x-[tex]6\frac{2}{3}[/tex]) - (-3x + [tex]4\frac{3}{4}[/tex]).

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Answer:

0.44

Step-by-step explanation:

Answer:9 : 20

Step-by-step explanation:

The radius of the circle having the equation x² + y² - 10x + 6y + 18 = 0 is 4  units , the correct option is (b) .

In the question ,

it is given that ,

the circle is having equation ⇒ x² + y² - 10x + 6y + 18 = 0 ,

we know that ,

general equation of circle is ⇒ x² + y² + 2fx + 2gy + c = 0 ;

So , radius of circle is calculated using the below formula ,

radius [tex]=[/tex] √(f² + g² - c)

On comparing,  given equation of circle with general equation of circle ,

we get , the values of f = -5 and g = 3 .

So after substituting values of f , g and c in radius formula ,

we get ,

radius = √(25 + 9 - 18)

= √(34 - 18)

= √16 = 4 .

Therefore , the given circle has radius = 4 units .

The given question is incomplete , the complete question is

What is the radius of a circle whose equation is x² + y² - 10x + 6y + 18 = 0 ?

(a) 2 units

(b) 4 units

(c) 8 units

(d) 16 units

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The length L of an edge of each small cube if adjacent cubes touch but don't overlap is 3.45 nm.

The formula to be used for calculation is -

PV = Nkt, where P is pressure, V is volume, N is number of molecules, k is Boltzmann constant and T is temperature in Kelvin.

T = 273 + 27

Performing addition on Right Hand Side of the equation

T = 300 K

P = 101325 Pa

k = 1.38 × [tex] {10}^{-23} [/tex] J/K

Now finding the volume

V = (1 × 1.38 × [tex] {10}^{-23} [/tex] × 300)/101325

Performing multiplication and division on Right Hand Side of the equation

V = 4.09 × [tex] {10}^{-3} [/tex] m³

As we know, V = L³

So, L = [tex] {V}^{1/3} [/tex]

Keep the value of volume

L = [tex] { (4.09/1000) }^{1/3} [/tex]

Performing calculations

L = 3.45 × [tex] {10}^{-9} [/tex] m

Hence, length is 3.45 nm.

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Answer:

mode = 3

Step-by-step explanation:

the mode is the value that occurs most often in the data set

3, 7, 4, 6, 3, 5, 9, 40, 6, 3

the value 3 occurs most often , 3 times

then mode of data set = 3

Answer:

Below

Step-by-step explanation:

y = 19/x^3       <===== solve for 'x'

x = cube rt (19/y)     < ====now switch the x and y's

y = cube rt ( 19/x)

Answer: f^-1(x) = 19^3/x

Step-by-step explanation:

Given that : f(x) = y = 19/x^3

x^3 = 19/y

y = (19)^3/x = f^-1(x)

The total amount they will pay would be $95.557

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that the cost of their meal was $75.99. Tax on the meal is 6.75% and they left a 19% tip on the cost of the meal.

Cost of meal = $75.99

The tax amount = 6.75% of 75.99

                  = ( 6.75/100 ) x 75.99

                  = $5.129

Tip amount = 19% of 75.99

                  = (19/100) x 75.99

                  =  $14.438

Thus, the Total amount they will pay

= $75.99 + $5.129 + $14.438 = $95.557

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The coefficient of determination resulting from a particular regression analysis was 0.85. Then, the correlation coefficient, assuming a positive linear relationship is 0.922.

The coefficient of determination, denoted R2 or r2 and pronounced "R-squared," is the proportion of predictable variation in the dependent variable from the independent variables.

R2 has several definitions, sometimes the same. One class of such cases involves simple linear regression where r2 is used instead of R2. If only one bin is included, r2 is simply the square of the sample correlation coefficient (that is, r) between the observed outcome and the observed prediction. If additional regressors are included, R2 is the square of the multiple correlation coefficient. In both cases, the coefficient of determination is usually between 0 and 1.

Regression analysis consists of a dependent variable (often called the "outcome" or "response" variable, or "label" in machine learning parlance) and one or more independent variables (often called "predictors"). ). ', 'covariate', 'explanatory variable' or 'feature'). The most common form of regression analysis is linear regression, which finds the best fit line (or more complex linear combination) to the data according to mathematical criteria. For example, the ordinary least-squares method computes a unique line (or hyperplane) that minimizes the sum of squared differences between the true data and that line (or hyperplane). For certain mathematical reasons (see linear regression), researchers can estimate the conditional expected value (or population mean) of the dependent variable given that the independent variable takes on a particular set of values . Less common forms of regression use slightly different techniques to estimate alternative site parameters (such as quantile regression and requirement analysis, or conditional expectations on a broader collection of nonlinear models. estimating values ​​(such as nonparametric regression). Regression analysis is primarily used for two conceptually distinct purposes.

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